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Finding the Fourth Proportional to 1,095.87, 1,512.54 and 653.88

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Solution

The fourth proportional to 1,095.87, 1,512.54 and 653.88 is: 902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.87 : 1,512.54 = 653.88 : x
  2. Step 2: Convert to fraction form
    1,095.87/1,512.54 = 653.88/x
  3. Step 3: Cross multiply
    1,095.87x = 1,512.54 × 653.88
  4. Step 4: Simplify right side
    1,095.87x = 989,019.66
  5. Step 5: Solve for x
    x = 989,019.66/1,095.87
  6. Step 6: Final answer
    x = 902.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.